The Optimization Method and Application of Background Value in Non-equidistant GM (1,1) Model

摘要

In this paper, based on the research on the structure of background value in the non-equidistant grey model GM(1,1), The difference between trapezoid area and triangle area of block [k_i, k_(i+1)] is proposed as the background value, this background value is structured reasonable and has a good adaptability. This method improves the accuracy of non-equidistant grey model and widen the range of application.. At last, the method is used to build the model of relation between titanium alloy and temperature. The results of practical application show the effectiveness of the proposed approach.